Apply transformations after animation
It seems that applying this solution will work. However, I had to make a global collection for all my pieces (as I had multiple separated walls breaking), so I could make Select Objects from all the pieces and could remove Rigid Body (Object &gt; Rigid Body &gt; Remove) from all at once. Otherwise, only one of the walls would remain and the others would disappear (I don't know if this is an expected behavior).
To sum up:

Select all your pieces in the desired frame (I've done so by grouping them all in a collection, and then Right Click &gt; Select objects)
Press Ctrl + A+ and select Visual transform
With all the pieces still selected, go to Object &gt; Rigid Body &gt; Remove

Now pieces can be moved and no matter what frame you go back to, they will remain the same without alterations.